Here you go. This what you --really-- wanted.
http://www.ebay.com/itm/Vintage-Millers-Falls-hacksaw-no-79-made-in-USA-/251173022496?pt=LH_DefaultDomain_0&hash=item3a7b142b20 The great Millers Falls hacksaws came in many patterns. This pattern is my favorite.
After they made this pattern hacksaw, people gave up trying to make hacksaws better and only tried to make them cheaper. The frame is thick enough to be essentially bulletproof and able to sustain high tension on the blade. The angle of attack on this, meaning the angle of the handle compared to the cutting edge? Plus the drop, meaning the handle is dropped to line up with the blade like almost no other?
Makes the sawing geometry just plain perfect for precision work.
These came in many handle choices too.
I know you asked for wood, and its not hard to make your own wood handle slips for these.
But the handles on this one are "fire ruby".
Millers offered them in a bunch of chalky opaque colors and true rich translucent ruby red, (which are flat gorgeous themselves),
but this fire ruby is not to be believed if you polish it up. Its like electric or something. It looks out of this world up close.
I have one but no photograph can capture what it looks like in your hand.
Second picture are a couple of my homemade wooden handles for hacksaws. The one in front is an early Millers pattern. Black walnut handles.
yours Scott
PS Your old one, with its shovel handle, is so unusual and funky I would repair it and keep it, if I were you. Don't lose the parts! All it lost was a couple of rivets, big deal.